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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 197, Number 3, Pages 385–396
DOI: https://doi.org/10.4213/tmf9560 (Mi tmf9560) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The topology of isoenergetic surfaces for the Borisov–Mamaev–Sokolov integrable case on the Lie algebra $so(3,1)$

R. Akbarzadeh

School of Mathematics, Institute for Research in Fundamental Sciences, Tehran, Iran
Full-text PDF (729 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf9560
Abstract: We describe the topology of isoenergetic surfaces for an integrable system on the Lie algebra $so(3,1)$ and the critical points of the Hamiltonian for different parameter values. We construct bifurcation values of the Hamiltonian.
Keywords: topology, integrable Hamiltonian system, isoenergetic surface, critical set, bifurcation diagram.
Funding agency Grant number
School of Mathematics, Institute for Research in Fundamental Sciences 96510037
This research was supported in part by the Institute for Research in Fundamental Sciences (IPM Grant No. 96510037).
Received: 03.03.2018
English version:
Theoretical and Mathematical Physics, 2018, Volume 197, Issue 3, Pages 1727–1736
DOI: https://doi.org/10.1134/S0040577918120048
Bibliographic databases:
Document Type: Article
MSC: Primary 37J35, 70E40; Secondary 70H06.
Language: Russian
Citation: R. Akbarzadeh, “The topology of isoenergetic surfaces for the Borisov–Mamaev–Sokolov integrable case on the Lie algebra $so(3,1)$”, TMF, 197:3 (2018), 385–396; Theoret. and Math. Phys., 197:3 (2018), 1727–1736
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v197/i3/p385
    • This publication is cited in the following 2 articles:
    1. V. D. Irtegov, T. N. Titorenko, “Ob odnom podkhode k kachestvennomu issledovaniyu nelineinykh dinamicheskikh sistem”, Sib. zhurn. vychisl. matem., 25:1 (2022), 59–75  mathnet  crossref
    2. V. D. Irtegov, T. N. Titorenko, “On an Approach to Qualitative Analysis of Nonlinear Dynamic Systems”, Numer. Analys. Appl., 15:1 (2022), 48  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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